English

Separability of Mixed States: Necessary and Sufficient Conditions

Quantum Physics 2009-10-30 v2

Abstract

We provide necessary and sufficient conditions for separability of mixed states. As a result we obtain a simple criterion of separability for 2×22\times2 and 2×32\times3 systems. Here, the positivity of the partial transposition of a state is necessary and sufficient for its separability. However, it is not the case in general. Some examples of mixtures which demonstrate the utility of the criterion are considered.

Keywords

Cite

@article{arxiv.quant-ph/9605038,
  title  = {Separability of Mixed States: Necessary and Sufficient Conditions},
  author = {Michal Horodecki and Pawel Horodecki and Ryszard Horodecki},
  journal= {arXiv preprint arXiv:quant-ph/9605038},
  year   = {2009}
}

Comments

Revtex, 13 pages, replaced with minor typos corrected and some examples added